# [Deterministic nonbipartite Ramanujan graphs in every fixed degree](paper.pdf)

**Author:** OpenAI

**Date:** September 23, 2026

## Citation

To cite this manuscript:

```bibtex
@misc{OAI:Deterministic-nonbipartite-Ramanujan-graphs-in-every-fixed-degree-September-23-2026,
  author = {{OpenAI}},
  title = {{Deterministic nonbipartite Ramanujan graphs in every fixed degree}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Deterministic-nonbipartite-Ramanujan-graphs-in-every-fixed-degree-September-23-2026/paper.pdf}{OAI:Deterministic-nonbipartite-Ramanujan-graphs-in-every-fixed-degree-September-23-2026}},
  year = {2026}
}
```